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Finding the Fourth Proportional to 207,042.05, 285,716.31 and 116,398.42

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Solution

The fourth proportional to 207,042.05, 285,716.31 and 116,398.42 is: 160,628.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,042.05 : 285,716.31 = 116,398.42 : x
  2. Step 2: Convert to fraction form
    207,042.05/285,716.31 = 116,398.42/x
  3. Step 3: Cross multiply
    207,042.05x = 285,716.31 × 116,398.42
  4. Step 4: Simplify right side
    207,042.05x = 33,256,927,052.23
  5. Step 5: Solve for x
    x = 33,256,927,052.23/207,042.05
  6. Step 6: Final answer
    x = 160,628.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.